84211464 has 64 divisors (see below), whose sum is σ = 220809600. Its totient is φ = 26712576.

The previous prime is 84211459. The next prime is 84211471. The reversal of 84211464 is 46411248.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205692 + ... + 206100.

It is an arithmetic number, because the mean of its divisors is an integer number (3450150).

Almost surely, 2^84211464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84211464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110404800).

84211464 is an abundant number, since it is smaller than the sum of its proper divisors (136598136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84211464 is a wasteful number, since it uses less digits than its factorization.

84211464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 810 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 84211464 is about 9176.6804455642. The cubic root of 84211464 is about 438.3191102512.

The spelling of 84211464 in words is "eighty-four million, two hundred eleven thousand, four hundred sixty-four".